0 reads0 ratings0 helpful
If (f\circ g) is one-one, which statement is definitely true?यदि (f\circ g) एक-एक है, तो कौन सा कथन निश्चित रूप से सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (g) is one-one(g) एक-एक है
Step 1: Suppose (g(x_1)=g(x_2)). Step 2: Then (f(g(x_1))=f(g(x_2))), so ((f\circ g)(x_1)=(f\circ g)(x_2)). Step 3: Since (f\circ g) is one-one, (x_1=x_2), hence (g) is one-one.चरण 1: मान लें (g(x_1)=g(x_2))। चरण 2: तब (f(g(x_1))=f(g(x_2))), अर्थात ((f\circ g)(x_1)=(f\circ g)(x_2))। चरण 3: (f\circ g) एक-एक है, इसलिए (x_1=x_2), अतः (g) एक-एक है।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
